Starter quiz
- The transformation that turns an an object around a fixed point is called ______.
- 'rotation' ✓
- The ______ is the fixed point about which an object is rotated.
- 'centre of rotation' ✓
- There are exactly five equal sized angle around a point. Each angle is ______°.
- '72' ✓
- Which quadrilateral is always regular?
- parallelogram
- rectangle
- rhombus
- square ✓
- trapezium
-
The arrow on the left can be rotated ______° clockwise to create the arrow on the right.- '90' ✓
The rectangle ACDB is rotated to give rectangle D'B'A'C'. The angle of rotation is ______°.- '180' ✓
Exit quiz
- Rotational ______ describes when a shape appears the same after some rotation.
- 'symmetry' ✓
- An equilateral triangle has rotational symmetry of order ______.
- '3' ✓
- A scalene triangle has rotational symmetry of order ______.
- '1' ✓
- Which of these quadrilaterals always has rotational symmetry of order 4?
- kite
- parallelogram
- rectangle
- square ✓
- trapezium
-
The wheel in this picture has rotational symmetry of order ______.- '8' ✓
- Starting with the lowest, order these shapes according to their order of rotational symmetry.
- 1⇔isosceles triangle (that is not equilateral)
- 2⇔rhombus
- 3⇔equilateral triangle
- 4⇔regular pentagon
- 5⇔circle
Worksheet
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Presentation
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Lesson Details
Key learning points
- Congruent shapes can be used to investigate rotational symmetry.
- The centre of rotation is the centre of the shape.
- You must be careful not to count the starting point twice.
Common misconception
When rotating a shape to count its order of rotational symmetry, pupils may count the starting position twice: once at the start and then again at the end of the full turn.
Encourage pupils to be consistent with when they count the starting position, either always counting it before they begin rotating the shape or always counting it at the end of the full turn.
Keywords
Rotational symmetry - Rotational symmetry describes when a shape appears the same after some rotation. The order of rotational symmetry is the number of times the image appears the same as the object in one full turn.
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